EG 1109 2007 Term 2 Quiz 1

EG 1109 2007 Term 2 Quiz 1 - Quiz 1 Students Name Tutorial...

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Quiz 1 Student’s Name Time: 1 hour Date: 16 Feb 2008 Tutorial Group Grade: U / S / E Question 1 ( 2 0 m a r k s ) The construction in Figure 1 is used to lift the mass W via the shown cable and the motor winch M. For simplicity, all pulleys are assumed to be frictionless, and the gravitational acceleration is taken as g = 10 m/s 2 . (a) Which tensile force T is required in the cable at the motor M to lift the mass W = 1000 kg ? (b) Calculate the reactions at the supports A and B if the mass is W = 1,000 kg. (c) The pin at joint C is designed for a maximum magnitude of force of max _C = 20 kN. Calculate the maximum mass max _W that can be lifted without exceeding max _C in the pin. 30 o C Figure 1 2.00 m 3.00 m 3.00 m 2.00 m 3.00 m y x B M A W
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Question 2 ( 1 5 m a r k s ) A ball hangs down from a spring between two inclined plates according to Figure 2. The diameter of the ball is d = 0.300 m, and its mass is W = 100 kg. If the ball is held at the position shown in Figure 2 a) so that the gap between the plates is closed and the ball has just contact
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EG 1109 2007 Term 2 Quiz 1 - Quiz 1 Students Name Tutorial...

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